Geodesic
Quantum oscillations in the~black hole horizon
Teoretičeskaâ i matematičeskaâ fizika, Tome 213 (2022) no. 2, pp. 370-410

Voir la notice de l'article provenant de la source Math-Net.Ru

A quantum model for the Schwarzschild black hole was recently proposed by applying Rosen's quantization approach to the historical Oppenheimer and Snyder gravitational collapse and by setting the constraints on the formation of the Schwarzschild black hole. An interesting picture emerges: the traditional Schwarzschild singularity is replaced by a quantum oscillator describing a nonsingular “two-particle” system where the two components, the “nucleus” and the “electron”, strongly interact with each other through a quantum gravitational interaction. In agreement with the de Broglie hypothesis, the “electron” is interpreted in terms of quantum oscillations of the black-hole horizon. In other words, the Schwarzschild black hole should be considered as a gravitational analogue of the hydrogen atom. In this paper, after a short review of our previous results, we analyze some of the consequences of this approach. We also show that, by performing a correct rescaling of the energy levels, the semiclassical Bohr-like approach to quantum black holes, previously developed by one of the authors (CC), is consistent with the results obtained here for large values of the black-hole principal quantum number. After this, Hawking radiation is analyzed by discussing its connection with the black-hole quantum structure. Finally, we conclude the paper by discussing the black-hole information problem and its possible resolution.
Keywords: quantum black holes, quantum levels, hydrogen atom
Mots-clés : information paradox. 
@article{TMF_2022_213_2_a7,
     author = {C. Corda and F. Feleppa and F. Tamburini and I. Licata},
     title = {Quantum oscillations in the~black hole horizon},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {370--410},
     publisher = {mathdoc},
     volume = {213},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_213_2_a7/}
}
TY  - JOUR
AU  - C. Corda
AU  - F. Feleppa
AU  - F. Tamburini
AU  - I. Licata
TI  - Quantum oscillations in the~black hole horizon
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2022
SP  - 370
EP  - 410
VL  - 213
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2022_213_2_a7/
LA  - ru
ID  - TMF_2022_213_2_a7
ER  - 
%0 Journal Article
%A C. Corda
%A F. Feleppa
%A F. Tamburini
%A I. Licata
%T Quantum oscillations in the~black hole horizon
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2022
%P 370-410
%V 213
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2022_213_2_a7/
%G ru
%F TMF_2022_213_2_a7
C. Corda; F. Feleppa; F. Tamburini; I. Licata. Quantum oscillations in the~black hole horizon. Teoretičeskaâ i matematičeskaâ fizika, Tome 213 (2022) no. 2, pp. 370-410. http://geodesic.mathdoc.fr/item/TMF_2022_213_2_a7/